However, Origi has stressed that he has not committed himself to a move to Merseyside just yet, and has revealed that he will take a fortnight before announcing his plans, with Tottenham Hotspur also reportedly interested.
"I myself am still thinking about it," the Liverpool Echo quotes him as saying. "It is true that there are offers from all over Europe.
"Now I have to look carefully where I will grow as a player and as a person. I think it will be clearer, within two weeks at the most."
Origi scored one goal in five appearances, three of which came as a substitute, in Brazil this summer.